Search a number
-
+
228206748 = 223711312257
BaseRepresentation
bin11011001101000…
…10100010011100
3120220102002210210
431212202202130
5431410103443
634351132420
75440503540
oct1546424234
9526362723
10228206748
111078a9120
1264514110
1338381ca3
1422445a20
151507bc33
hexd9a289c

228206748 has 144 divisors (see below), whose sum is σ = 688649472. Its totient is φ = 57139200.

The previous prime is 228206729. The next prime is 228206767. The reversal of 228206748 is 847602822.

It is an interprime number because it is at equal distance from previous prime (228206729) and next prime (228206767).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887836 + ... + 888092.

It is an arithmetic number, because the mean of its divisors is an integer number (4782288).

Almost surely, 2228206748 is an apocalyptic number.

228206748 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228206748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344324736).

228206748 is an abundant number, since it is smaller than the sum of its proper divisors (460442724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228206748 is a wasteful number, since it uses less digits than its factorization.

228206748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 228206748 is about 15106.5134296435. The cubic root of 228206748 is about 611.0960746738.

The spelling of 228206748 in words is "two hundred twenty-eight million, two hundred six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 257 308 341 372 434 462 514 651 682 771 868 924 961 1023 1028 1302 1364 1542 1799 1922 2046 2387 2604 2827 2883 3084 3598 3844 4092 4774 5397 5654 5766 6727 7161 7196 7967 8481 9548 10571 10794 11308 11532 13454 14322 15934 16962 19789 20181 21142 21588 23901 26908 28644 31713 31868 33924 39578 40362 42284 47802 55769 59367 63426 73997 79156 80724 87637 95604 111538 118734 126852 147994 167307 175274 221991 223076 237468 246977 262911 295988 334614 350548 443982 493954 525822 613459 669228 740931 887964 987908 1051644 1226918 1481862 1728839 1840377 2453836 2716747 2963724 3457678 3680754 5186517 5433494 6915356 7361508 8150241 10373034 10866988 16300482 19017229 20746068 32600964 38034458 57051687 76068916 114103374 228206748